GE = 2x – 7 GF = x + 4. What is GD? Solve for the variable Bellringer P 23 top 10 lines

Triangle Congruence Sections 4-2, 4-3, 4-6

SSS

Example

NOTE: The only time two sides are unmarked and congruent are when they are shared sides (like in the previous example) This is because of the Reflexive property of congruence

SAS

Note: The congruent angle MUST BE between the two congruent sides. The only time unmarked angles are congruent is when they are vertical (they make the X)

Try it

Again

Bellringer

ASA

NOTE: The congruent side needs to be between the congruent angles.

AAS

NOTE The third angles theorem states that when two angles of a triangle are congruent to two angles of a different triangle then the third angles are also congruent. This connects AAS to ASA

Example:

WRITING A PROOF FOR TRIANGLE CONGRUENCE

RIGHT TRIANGLES

HL

NOTE: This only works for right triangles MUST have congruent hypotenuses MUST have a pair of congruent legs

Example